New results on torus cube packings and tilings
Abstract
We consider sequential random packing of integral translate of cubes [0,N]n into the torus Zn / 2NZn. Two special cases are of special interest: (i) The case N=2 which corresponds to a discrete case of tilings (considered in cubetiling,book) (ii) The case N=∞ corresponds to a case of continuous tilings (considered in combincubepack,book) Both cases correspond to some special combinatorial structure and we describe here new developments.
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